Question

M²-k² 0,49a⁶-1,44b² (x+1)² (a-3)² (t-16)² (2x+y)² (c-5)²

Answer 1

$m^2-k^2=(m-k)(m+k)\\\\0,49a^6-1,44b^2=(0,7a^3-1,2b)(0,7a^3+1,2b)\\\\(x+1)^2=x^2+2x+1\\\\(a-3)^2=a^2-6a+9\\\\(t-16)^2=t^2-32t+256\\\\(2x+y)^2=4x^2+4xy+y^2\\\\(c-5)^2=c^2-10\, c+25$

Answer 2

It looks like you have an expression with variables and constants. Let's simplify it step by step:

Expression: M² - k² 0.49a⁶ - 1.44b² (x+1)² (a-3)² (t-16)² (2x+y)² (c-5)²

1. Start by simplifying the constants:
   • 0.49a⁶ = (0.7a³)²
   • 1.44b² = (1.2b)²

So, the expression becomes: M² - k²(0.7a³)² - (1.2b)² (x+1)² (a-3)² (t-16)² (2x+y)² (c-5)²

2. Now, let's use the properties of exponents:
   • (0.7a³)² = 0.49a⁶
   • (1.2b)² = 1.44b²
   • (x+1)² = x² + 2x + 1
   • (a-3)² = a² - 6a + 9
   • (t-16)² = t² - 32t + 256
   • (2x+y)² = 4x² + 4xy + y²
   • (c-5)² = c² - 10c + 25

So, the expression becomes: M² - k²(0.49a⁶) - 1.44b²(x² + 2x + 1)(a² - 6a + 9)(t² - 32t + 256)(4x² + 4xy + y²)(c² - 10c + 25)

3. Now, distribute the k² to all terms inside the parentheses: M² - 0.49k²a⁶ - 1.44b²(x² + 2x + 1)(a² - 6a + 9)(t² - 32t + 256)(4x² + 4xy + y²)(c² - 10c + 25)

4. You can further expand each of the remaining terms inside the expression, but it will be quite lengthy due to the number of variables and factors involved. If you have specific values for these variables, you can substitute them into the expression to simplify it further. Otherwise, this is the simplified form of the expression.

If you have specific values for the variables and want to simplify the expression with those values, please provide them, and I can assist you further.